Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
page
|<
<
(54)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div154
"
type
="
section
"
level
="
1
"
n
="
104
">
<
pb
o
="
54
"
file
="
0074
"
n
="
74
"
rhead
="
GEOMETRIÆ
"/>
</
div
>
<
div
xml:id
="
echoid-div155
"
type
="
section
"
level
="
1
"
n
="
105
">
<
head
xml:id
="
echoid-head116
"
xml:space
="
preserve
">LEMMA I.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1396
"
xml:space
="
preserve
">SI ſint duæ ſimiles ſolidæ figuræ iuxta definit.</
s
>
<
s
xml:id
="
echoid-s1397
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s1398
"
xml:space
="
preserve
">Vndec. </
s
>
<
s
xml:id
="
echoid-s1399
"
xml:space
="
preserve
">Elem. </
s
>
<
s
xml:id
="
echoid-s1400
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1401
"
xml:space
="
preserve
">
<
lb
/>
in earum altera duæ aſſumantur in ambitu quæcumque figuræ
<
lb
/>
coincidentes, illæ erunt ad inuicem æquè ad eandem partem incli-
<
lb
/>
natæ, ac aliæ duæ, quæ in reliqua ſolida figura eiſdem ſimiles eſſe
<
lb
/>
ſupponuntur.</
s
>
<
s
xml:id
="
echoid-s1402
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1403
"
xml:space
="
preserve
">Sint ſim les ſolidæ figuræ, AN, KR, in earum autem altera, A
<
lb
/>
N, ſumantur duæ quæcumq; </
s
>
<
s
xml:id
="
echoid-s1404
"
xml:space
="
preserve
">figuræ inuicem coincidentes, AV, V
<
lb
/>
<
figure
xlink:label
="
fig-0074-01
"
xlink:href
="
fig-0074-01a
"
number
="
37
">
<
image
file
="
0074-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0074-01
"/>
</
figure
>
H, quibus in
<
lb
/>
reliqua ſimiles
<
lb
/>
ſint, Κ Λ, qui-
<
lb
/>
dem, AV, &</
s
>
<
s
xml:id
="
echoid-s1405
"
xml:space
="
preserve
">,
<
lb
/>
Λ &</
s
>
<
s
xml:id
="
echoid-s1406
"
xml:space
="
preserve
">, ipſi, HV:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1407
"
xml:space
="
preserve
">Dico vtraſque,
<
lb
/>
AV, VH, ęquè
<
lb
/>
ad inuicem, & </
s
>
<
s
xml:id
="
echoid-s1408
"
xml:space
="
preserve
">
<
lb
/>
ad eandempar-
<
lb
/>
tem eſſe incli-
<
lb
/>
natas, ac ſunt
<
lb
/>
ipſę, Κ Λ, Λ &</
s
>
<
s
xml:id
="
echoid-s1409
"
xml:space
="
preserve
">.
<
lb
/>
Velergo, AG,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-01
"
xlink:href
="
note-0074-01a
"
xml:space
="
preserve
">18. Vnde-
<
lb
/>
cimi El.</
note
>
KY, ſunt ſubie-
<
lb
/>
ctis planis per-
<
lb
/>
pẽdiculares, & </
s
>
<
s
xml:id
="
echoid-s1410
"
xml:space
="
preserve
">
<
lb
/>
tunc, AV, Κ Λ,
<
lb
/>
erunt ipſis, H
<
lb
/>
V, & </
s
>
<
s
xml:id
="
echoid-s1411
"
xml:space
="
preserve
">Λ, erecta,
<
lb
/>
vel nõ, & </
s
>
<
s
xml:id
="
echoid-s1412
"
xml:space
="
preserve
">tunc
<
lb
/>
demittantur à
<
lb
/>
punctis, A, K,
<
lb
/>
ſubiectis planis
<
lb
/>
perpẽdiculares,
<
lb
/>
AE, KT, & </
s
>
<
s
xml:id
="
echoid-s1413
"
xml:space
="
preserve
">ſu-
<
lb
/>
per ipſas, HG,
<
lb
/>
VG, productas
<
lb
/>
(ſi opus ſit, & </
s
>
<
s
xml:id
="
echoid-s1414
"
xml:space
="
preserve
">
<
lb
/>
niſi, AG, KY,
<
lb
/>
ſint vel ipſis, H
<
lb
/>
G, & </
s
>
<
s
xml:id
="
echoid-s1415
"
xml:space
="
preserve
">Y, vel ip-
<
lb
/>
ſis, GV, Υ Λ, perpendiculares) ſimiliter ad angulos rectos </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>